Q59
If the income of company Q in 2001 was 10% more than that in 2000 and the company had earned a profit of 20% in 2000, then its expenditure in 2000 (in Rs. crore).
A.
Rs. 34.34 crores
B.
Rs. 28.28 crores
C.
Rs. 29.09 crores
D.
Rs. 30.30 crores
AnswerAnswer: Option D
Solution
Answer: Option D
Solution:
\begin{aligned}
& \text{Income of company Q in 2000} \\
& = \frac{100}{110}\times140 \\
& = \frac{400}{11}\text{ crores} \\
& \text{If expenditure in 2000 be Rs. x crores} \\
& \text{Profit %} \\
& \Rightarrow \frac{\text{Income - Expenditure}}{\text{Expenditure}}\times100=\frac{\frac{400}{11}-x}{x} \\
& \Rightarrow \frac{20}{100} = \frac{400-11x}{11x} \\
& \Rightarrow \frac{1}{5} = \frac{400-11x}{11x} \\
& \Rightarrow 5\times400-55x=11x \\
& \Rightarrow 66x = 2000 \\
& \Rightarrow x = \frac{2000}{66} \\
& \Rightarrow x = \text{Rs. 30.30 crores} \\\end{aligned}